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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 32E

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Related questions

Question

X sepresents the number of customers'who
order'pepperon on theur PUZza then X
At Paulis Pizzeria, Folo Dff all cusfomers
a random'Sample of 300 cusfomers. If
Quesfion?
order peppe
S randonSample of 300
roni on ther PUZza. Consider
a'bunomjal disfabution with
0.7
follows
D=300 and
ajexplain why X follows a bnomial
distnbut
bllnsfead of wsing the bunomial dustnbution
What probability disfnbution could you
useto appnximate the dista bution of
X? Explain and state y relevant
meter value (5).
() Approximate the Probabulity that more
than '200 customers' order pepperoni DA
heur puzza
(4'Charactenstics)
any
Pard-

C CM
CHAPTER 2
(EF,.
1
n-1
n-1
Position of the pth percentile
(n+1)
%3D
100
CHAPTER 3
Sxy
, Sxy =
SxSy
regression line: y=a+bx, b r(), a y-bx
n-1
CHAPTER 4
For any two events A and B
P(AUB) = P(A) + P(B) – P(A B)
and if A and B are mutually exclusive events, then
• P(A“) = 1– P(A)
P(AN B) = 0
If A and B are 2 independent events, then
P(AN B) = P(A) x P(B)
Conditional probability: If A and B are 2 events, then
P(ANB)
P(A|B) =
P(B)
Bayes Rule:
P(S\A)
P(SNA)
%3D
P(Si).P(A|St)
%3D
P(A)
E-1 P(S:).P(A|Si)
n!
• pn =
(n-r)!
n!
C =
r!(n-r)!
E (X) = E, xip(x,),
v(X) = E, x7p(x;) -E, x;p(x;))' = E(Xx²) – (E(X))?
CHAPTER 5
Distribution
Probability Mass Function
Mean
Variance
Binomial
P(X=x)=C#p°(1-p*, x= 0,1,..n
пр
пр(1 - р)
Poisson
P(X = x) = '
,x = 0,1,...
M(N-MN-
Hypergeometric
P(X=x)3D
CN
N
N-
Approximations:
If n/N <0.05(N/n 220), then the hypergeometric distribution can be approximated by the binomial
distribution with parameters n and p = MIN.
If p is small, n is large, and np <7, then the binomial distribution can be approximated by the Poisson
distribution with u = np.
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